2{4x-0.5} -3{1-6分之1x} - x+{2x-2}-{3x+5}

问题描述:

2{4x-0.5} -3{1-6分之1x} - x+{2x-2}-{3x+5}

令a=arctan(1+x)
b=arctan(1-x)
tan(a+b)=1
tana=1+x,tanb=1-x
(1+x+1-x)/[1-(1-x²)]=1
2=x²
x=±√2
aeccos(x/2)
=arccos(±√2/2)
所以aeccos(x/2)=π/4或3π/4

2{4x-0.5} -3{1-6分之1x} - x+{2x-2}-{3x+5}
=8x-1-3+x/2-x+2x-2-3x-5
=(8x+x/2-x+2x-3x)-1-3-2-5
=13x/2-11